Results 11 to 20 of about 601,809 (253)
On quasi-prime differential semiring ideals
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 The notion of a \verb"quasi-prime ideal", for the first time, was introduced in differential commutative rings, i.e. commutative rings considered together with a derivation, as differential ideals maximal among those not meeting some multiplicatively ...
І. О. Мельник
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, 2023 In this article, we look at the ideas of $f$-prime ideals and $f$-semi-prime ideals of posets, as well as the many features of $f$-primeness and $f$-semi-primeness in posets.
John, J. Catherine Grace +5 more
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On differentially prime ideals of Noetherian semirings
Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2022 The paper is devoted to the investigation of the notion of a differentially prime ideal of a differential commutative semiring (i. e. a semiring equipped with a derivation), and its interrelation with the notions of a quasi-prime ideal and a primary ...
І. О. Мельник
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Projective prime ideals and localisation in pi-rings [PDF]
, 2001 The results here generalise [2, Proposition 4.3] and [9, Theorem 5.11]. We shall prove the following. THEOREM A. Let R be a Noetherian PI-ring. Let P be a non-idempotent prime ideal of R such that PR is projective. Then P is left localisable and RP is
Chatters, A. W. +5 more
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On weakly S-prime ideals of commutative rings
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 Let R be a commutative ring with identity and S be a multiplicative subset of R. In this paper, we introduce the concept of weakly S-prime ideals which is a generalization of weakly prime ideals. Let P be an ideal of R disjoint with S. We say that P is a
Almahdi Fuad Ali Ahmed +2 more
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Prime ideals in the quantum grassmanian [PDF]
, 2008 We consider quantum Schubert cells in the quantum grassmannian and give a cell decomposition of the prime spectrum via the Schubert cells. As a consequence, we show that all primes are completely prime in the generic case where the deformation parameter ...
Lenagan, T.H. +2 more
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Radicals of Generalized Prime Ideals in Ternary Semigroups
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, the concepts of f-prime ideals and f-semiprime ideals on a ternary semigroup are considered as a generalization of pseudo prime ideals and pseudo semiprime ideals, respectively.
Satvong Narakon +2 more
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Intersections of essential minimal prime ideals [PDF]
, 2014 summary:Let $\mathcal{Z(R)}$ be the set of zero divisor elements of a commutative ring $R$ with identity and $\mathcal{M}$ be the space of minimal prime ideals of $R$ with Zariski topology.
Taherifar, A.
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On Prime E-ideals of Almost Distributive Lattices
International Journal of Analysis and Applications, 2023 In an almost distributive lattice (ADL), the idea of E-ideals is introduced, and their properties are discussed. In terms of a congruence, an equivalence is established between the minimal prime Eideals of an ADL and its quotient ADL.
N. Rafi +3 more
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On certain generalized prime ideals in boolean like semiring of fractions [PDF]
Journal of Hyperstructures, 2014 In this paper, we introduce the notions of semiprime ideals, 2-potent prime ideals, weakly prime ideals and weakly primary ideals in a Boolean like semiring of fractions. Further, we obtain various results concerning the notions.
K. H. Demissie +2 more
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